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Proper efficiency in linear vector maximum problems with nonlinear constraints

Published online by Cambridge University Press:  09 April 2009

T. R. Gulati and
M. A. Islam
T. R. Gulati
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee 247667, India
M. A. Islam
Affiliation:
Department of Mathematics, University of Dhaka, Dhaka-2, Bangladesh
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Abstract

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A linear vector maximum problem with nonlinear constraints is considered. A condition is derived which is necessary for an efficient solution and sufficient for a properly efficient solution of this problem. This leads to sufficient conditions for an efficient solution to be properly efficient. An example is discussed at the end.

MSC classification

Secondary:90C31: Sensitivity, stability, parametric optimization90C30: Nonlinear programming

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 2 , April 1989, pp. 229 - 235
Copyright
Copyright © Australian Mathematical Society 1989

References

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